11(7a+10)=12a+5(a-2)

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Solution for 11(7a+10)=12a+5(a-2) equation:


Simplifying
11(7a + 10) = 12a + 5(a + -2)

Reorder the terms:
11(10 + 7a) = 12a + 5(a + -2)
(10 * 11 + 7a * 11) = 12a + 5(a + -2)
(110 + 77a) = 12a + 5(a + -2)

Reorder the terms:
110 + 77a = 12a + 5(-2 + a)
110 + 77a = 12a + (-2 * 5 + a * 5)
110 + 77a = 12a + (-10 + 5a)

Reorder the terms:
110 + 77a = -10 + 12a + 5a

Combine like terms: 12a + 5a = 17a
110 + 77a = -10 + 17a

Solving
110 + 77a = -10 + 17a

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-17a' to each side of the equation.
110 + 77a + -17a = -10 + 17a + -17a

Combine like terms: 77a + -17a = 60a
110 + 60a = -10 + 17a + -17a

Combine like terms: 17a + -17a = 0
110 + 60a = -10 + 0
110 + 60a = -10

Add '-110' to each side of the equation.
110 + -110 + 60a = -10 + -110

Combine like terms: 110 + -110 = 0
0 + 60a = -10 + -110
60a = -10 + -110

Combine like terms: -10 + -110 = -120
60a = -120

Divide each side by '60'.
a = -2

Simplifying
a = -2

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